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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality x(ln(1+x)+ln(1-x)) ≥1+cosx+0.5x^2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x * ( ln ( 1 + x ) + ln ( 1 - x ) ) ≥1 + cos x + 0.5 * x ^ 2         (1)
        From the definition field of ln
         1 + x > 0        (2 )
        From the definition field of ln
         1 - x > 0        (3 )

    From inequality(1):
         x ≤ -0.940573
    From inequality(2):
         x > -1
    From inequality(3):
         x < 1

    From inequalities (1) and (2)
         -1 < x ≤ -0.940573     (4)
    From inequalities (3) and (4)
         -1 < x ≤ -0.940573     (5)

    The final solution set is :

         -1 < x ≤ -0.940573




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